Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours.

Q1. Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Assuming each day of the year is equally likely (and ignoring February 29) (a)what is pmf of X? (b)give the values of the mean, variance, and standard deviation of X? (c)find P(X > 400) and P(X < 300).